{"id":119482,"date":"2026-10-29T20:32:59","date_gmt":"2026-10-29T12:32:59","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/119482.html"},"modified":"2026-10-29T20:32:59","modified_gmt":"2026-10-29T12:32:59","slug":"%e3%80%90c-%e8%bf%9b%e9%98%b6%e3%80%91%e4%ba%8c%e5%8f%89%e6%90%9c%e7%b4%a2%e6%a0%91%ef%bc%88bst%ef%bc%89%e5%85%a8%e6%99%af%e6%8b%86%e8%a7%a3%ef%bc%9a%e4%bb%8e%e5%8e%9f%e7%90%86%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/119482.html","title":{"rendered":"\u3010C++ \u8fdb\u9636\u3011\u4e8c\u53c9\u641c\u7d22\u6811\uff08BST\uff09\u5168\u666f\u62c6\u89e3\uff1a\u4ece\u539f\u7406\u5206\u6790\u5230\u6a21\u677f\u6e90\u7801\u5b9e\u73b0"},"content":{"rendered":"<\/p>\n<h4>\u4e8c\u53c9\u641c\u7d22\u6811<\/h4>\n<ul>\n<li>1. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6982\u5ff5\u4e0e\u6838\u5fc3\u6027\u8d28<\/li>\n<li>2. \u6027\u80fd\u5206\u6790\u4e0e\u4e8c\u5206\u67e5\u627e\u5bf9\u6bd4<\/li>\n<li>3. Key \u6a21\u578b\u4e0e Key-Value \u6a21\u578b\u5e94\u7528\u573a\u666f<\/li>\n<li>\n<ul>\n<li>3.1 Key \u641c\u7d22\u573a\u666f&#xff08;\u5355\u5173\u952e\u7801&#xff09;<\/li>\n<li>\n<ul>\n<li>\u573a\u666f 1&#xff08;\u5c0f\u533a\u65e0\u4eba\u503c\u5b88\u8f66\u5e93&#xff09;<\/li>\n<li>\u573a\u666f 2&#xff08;\u82f1\u6587\u6587\u7ae0\u62fc\u5199\u68c0\u67e5&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>3.2 Key-Value \u641c\u7d22\u573a\u666f&#xff08;\u952e\u503c\u5bf9&#xff09;<\/li>\n<li>\n<ul>\n<li>\u573a\u666f 1&#xff08;\u7b80\u5355\u4e2d\u82f1\u4e92\u8bd1\u5b57\u5178&#xff09;<\/li>\n<li>\u573a\u666f 2&#xff08;\u5546\u573a\u505c\u8f66\u8ba1\u8d39&#xff09;<\/li>\n<li>\u573a\u666f 3&#xff08;\u5355\u8bcd\u8bcd\u9891\u7edf\u8ba1&#xff09;<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>4. \u8282\u70b9\u4e0e\u7c7b\u7684 C&#043;&#043; \u62bd\u8c61\u5b9a\u4e49<\/li>\n<li>5. \u67e5\u627e\u7b97\u6cd5&#xff08;Find&#xff09;\u5256\u6790<\/li>\n<li>6. \u63d2\u5165\u7b97\u6cd5&#xff08;Insert&#xff09;\u5206\u6bb5\u62c6\u89e3\u4e0e\u7b54\u7591<\/li>\n<li>\n<ul>\n<li>6.1 \u6b65\u9aa4 1&#xff1a;\u7279\u5224\u7a7a\u6811\u903b\u8f91<\/li>\n<li>6.2 \u6b65\u9aa4 2&#xff1a;\u8fed\u4ee3\u5bfb\u627e\u843d\u811a\u70b9\u5e76\u8bb0\u5f55\u7236\u8282\u70b9&#xff08;Parent \u8ffd\u8e2a&#xff09;<\/li>\n<li>6.3 \u6b65\u9aa4 3&#xff1a;\u5f00\u8f9f\u65b0\u8282\u70b9\u4e0e\u7236\u8282\u70b9\u7269\u7406\u6302\u63a5<\/li>\n<li>6.4 Insert \u63a5\u53e3\u5b8c\u6574\u4ee3\u7801<\/li>\n<\/ul>\n<\/li>\n<li>7. \u5220\u9664\u7b97\u6cd5&#xff08;Erase&#xff09;\u4e09\u5927\u573a\u666f\u6df1\u5ea6\u62c6\u89e3\u3010\u91cd\u70b9\/\u96be\u70b9&#x1f4cc;\u3011<\/li>\n<li>\n<ul>\n<li>7.1 \u573a\u666f 1&#xff1a;\u8981\u5220\u9664\u8282\u70b9 cur \u7684\u5de6\u5b69\u5b50\u4e3a\u7a7a&#xff08;\u6258\u5b64\u53f3\u5b69\u5b50&#xff09;<\/li>\n<li>7.2 \u573a\u666f 2&#xff1a;\u8981\u5220\u9664\u8282\u70b9 cur \u7684\u53f3\u5b69\u5b50\u4e3a\u7a7a&#xff08;\u6258\u5b64\u5de6\u5b69\u5b50&#xff09;<\/li>\n<li>7.3 \u573a\u666f 3&#xff1a;\u8981\u5220\u9664\u8282\u70b9 cur \u7684\u5de6\u53f3\u5b69\u5b50\u90fd\u4e0d\u4e3a\u7a7a&#xff08;\u66ff\u6362\u6cd5&#xff09;<\/li>\n<li>7.4 Erase \u63a5\u53e3\u5b8c\u6574\u4ee3\u7801<\/li>\n<\/ul>\n<\/li>\n<li>8. \u8f85\u52a9\u6210\u5458\u51fd\u6570\u4e0e\u5c01\u88c5\u7b56\u7565<\/li>\n<li>\n<ul>\n<li>8.1 \u9012\u5f52\u63a5\u53e3\u7684\u79c1\u6709\u5c01\u88c5\u7b56\u7565<\/li>\n<li>8.2 \u6df1\u62f7\u8d1d\u6784\u9020\u4e0e\u540e\u5e8f\u6790\u6784<\/li>\n<li>8.3 \u73b0\u4ee3\u5199\u6cd5\u8d4b\u503c\u91cd\u8f7d<\/li>\n<\/ul>\n<\/li>\n<li>9. \u4e8c\u53c9\u641c\u7d22\u6811\u5b8c\u6574 C&#043;&#043; \u6a21\u677f\u5b9e\u73b0\u4ee3\u7801<\/li>\n<\/ul>\n<h2>1. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6982\u5ff5\u4e0e\u6838\u5fc3\u6027\u8d28<\/h2>\n<p>\u4e8c\u53c9\u641c\u7d22\u6811&#xff08;BST&#xff09; \u53c8\u79f0\u4e8c\u53c9\u6392\u5e8f\u6811&#xff0c;\u5b83\u6216\u8005\u662f\u9020\u4e00\u68f5\u7a7a\u6811&#xff1b;\u5982\u679c\u5b83\u4e0d\u4e3a\u7a7a&#xff0c;\u5219\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u57fa\u672c\u6027\u8d28&#xff1a;<\/p>\n<li>\n<p>\u5de6\u5b50\u6811\u7ea6\u675f&#xff1a;\u82e5\u5b83\u7684\u5de6\u5b50\u6811\u4e0d\u4e3a\u7a7a&#xff0c;\u5219\u5de6\u5b50\u6811\u4e0a\u6240\u6709\u8282\u70b9\u7684\u503c\u90fd \u5c0f\u4e8e\u7b49\u4e8e \u6839\u8282\u70b9\u7684\u503c\u3002<\/p>\n<\/li>\n<li>\n<p>\u53f3\u5b50\u6811\u7ea6\u675f&#xff1a;\u82e5\u5b83\u7684\u53f3\u5b50\u6811\u4e0d\u4e3a\u7a7a&#xff0c;\u5219\u53f3\u5b50\u6811\u4e0a\u6240\u6709\u8282\u70b9\u7684\u503c\u90fd \u5927\u4e8e\u7b49\u4e8e \u6839\u8282\u70b9\u7684\u503c\u3002<\/p>\n<\/li>\n<li>\n<p>\u9012\u5f52\u5b9a\u4e49&#xff1a;\u5b83\u7684\u5de6\u53f3\u5b50\u6811\u4e5f\u5206\u522b\u662f\u4e00\u68f5\u4e8c\u53c9\u641c\u7d22\u6811\u3002<\/p>\n<\/li>\n<p>\u6ce8&#xff1a;\u4e8c\u53c9\u641c\u7d22\u6811\u53ef\u4ee5\u652f\u6301\u63d2\u5165\u76f8\u7b49\u7684\u503c&#xff0c;\u4e5f\u53ef\u4ee5\u4e0d\u652f\u6301\u63d2\u5165\u76f8\u7b49\u7684\u503c&#xff0c;\u5177\u4f53\u770b\u4f7f\u7528\u573a\u666f\u5b9a\u4e49\u3002 \u540e\u7eed\u5b66\u4e60\u7684 map\/set \u4e0d\u652f\u6301\u63d2\u5165\u76f8\u7b49\u503c&#xff0c;\u800c multimap\/multiset \u5219\u652f\u6301\u63d2\u5165\u76f8\u7b49\u503c\u3002<\/p>\n<p>\u2b50 \u6838\u5fc3\u6027\u8d28\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a; \u5bf9\u4efb\u4f55\u4e00\u68f5\u4e8c\u53c9\u641c\u7d22\u6811\u8fdb\u884c\u4e2d\u5e8f\u904d\u5386&#xff08;\u5de6 -&gt; \u6839 -&gt; \u53f3&#xff09;&#xff0c;\u5f97\u5230\u7684\u8f93\u51fa\u5e8f\u5217\u4e00\u5b9a\u662f\u4e00\u4e2a\u5355\u8c03\u9012\u589e\u7684\u6709\u5e8f\u5e8f\u5217&#xff01; \u82e5\u60f3\u8981\u8fbe\u5230\u9012\u51cf\u7684\u6548\u679c&#xff0c;\u53ea\u9700\u53cd\u5411\u4e2d\u5e8f\u904d\u5386&#xff08;\u53f3 -&gt; \u6839 -&gt; \u5de6&#xff09;\u5373\u53ef<\/p>\n<h2>2. \u6027\u80fd\u5206\u6790\u4e0e\u4e8c\u5206\u67e5\u627e\u5bf9\u6bd4<\/h2>\n<p>\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u589e\u5220\u67e5\u6539\u6548\u7387\u9ad8\u5ea6\u4f9d\u8d56\u4e8e\u6811\u7684\u7269\u7406\u5f62\u6001&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u6700\u4f18\u60c5\u51b5&#xff1a;\u4e8c\u53c9\u641c\u7d22\u6811\u4e3a\u5b8c\u5168\u4e8c\u53c9\u6811&#xff08;\u6216\u63a5\u8fd1\u5b8c\u5168\u4e8c\u53c9\u6811&#xff09;&#xff0c;\u5176\u9ad8\u5ea6\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            log<\/p>\n<p>            \u2061<\/p>\n<p>           2<\/p>\n<p>          N<\/p>\n<p>         \\\\log_2 N<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9386em;vertical-align: -0.2441em\"><\/span><span class=\"mop\"><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.207em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u589e\u5220\u67e5\u6539\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          O<\/p>\n<p>          (<\/p>\n<p>            log<\/p>\n<p>            \u2061<\/p>\n<p>           2<\/p>\n<p>          N<\/p>\n<p>          )<\/p>\n<p>         O(\\\\log_2 N)<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mop\"><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.207em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<\/li>\n<li>\n<p>\u6700\u5dee\u60c5\u51b5&#xff1a;\u4e8c\u53c9\u641c\u7d22\u6811\u9000\u5316\u4e3a\u5355\u652f\u6811&#xff08;\u4f8b\u5982\u6309\u6709\u5e8f\u6570\u636e\u5347\u5e8f\/\u964d\u5e8f\u63d2\u5165&#xff09;&#xff0c;\u5176\u9ad8\u5ea6\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          N<\/p>\n<p>         N<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u65f6\u95f4\u590d\u6742\u5ea6\u9000\u5316\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          O<\/p>\n<p>          (<\/p>\n<p>          N<\/p>\n<p>          )<\/p>\n<p>         O(N)<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261029123255-6ae33cf73e2a0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u7efc\u5408\u800c\u8a00&#xff0c;\u666e\u901a\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u589e\u5220\u67e5\u6539\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        O<\/p>\n<p>        (<\/p>\n<p>        N<\/p>\n<p>        )<\/p>\n<p>       O(N)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002 \u4e3a\u4e86\u6ee1\u8db3\u9ad8\u5e76\u53d1\u3001\u9ad8\u6027\u80fd\u573a\u666f\u4e0b\u7684\u9700\u6c42&#xff0c;\u540e\u7eed\u5fc5\u987b\u5f15\u5165\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811&#xff08;AVL \u6811\u548c\u7ea2\u9ed1\u6811&#xff09;\u3002<\/p>\n<p>&#x1f4a1; \u5bf9\u6bd4&#xff1a;\u4e8c\u5206\u67e5\u627e vs \u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811 \u4e8c\u5206\u67e5\u627e\u540c\u6837\u80fd\u8fbe\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        O<\/p>\n<p>        (<\/p>\n<p>          log<\/p>\n<p>          \u2061<\/p>\n<p>         2<\/p>\n<p>        N<\/p>\n<p>        )<\/p>\n<p>       O(\\\\log_2 N)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mop\"><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.207em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u7684\u67e5\u627e\u6548\u7387&#xff0c;\u4f46\u5b58\u5728\u4e24\u5927\u81f4\u547d\u7f3a\u9677&#xff1a;<\/p>\n<li>\u5fc5\u987b\u4f9d\u8d56\u652f\u6301\u4e0b\u6807\u968f\u673a\u8bbf\u95ee\u4e14\u6709\u5e8f\u7684\u7ed3\u6784&#xff08;\u5982\u6570\u7ec4&#xff09;&#xff0c;\u94fe\u8868\u7b49\u7ed3\u6784\u65e0\u6cd5\u4f7f\u7528\u3002<\/li>\n<li>\u52a8\u6001\u63d2\u5165\u4e0e\u5220\u9664\u6548\u7387\u6781\u4f4e&#xff08;\u9700\u8981\u5927\u91cf\u632a\u52a8\u6570\u636e&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         O<\/p>\n<p>         (<\/p>\n<p>         N<\/p>\n<p>         )<\/p>\n<p>        O(N)<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/li>\n<p>\u8fd9\u6b63\u662f\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811\u4e0d\u53ef\u66ff\u4ee3\u7684\u4ef7\u503c\u6240\u5728\u3002<\/p>\n<h2>3. Key \u6a21\u578b\u4e0e Key-Value \u6a21\u578b\u5e94\u7528\u573a\u666f<\/h2>\n<p>\u5728\u5b9e\u9645\u5de5\u7a0b\u5f00\u53d1\u4e2d&#xff0c;\u4e8c\u53c9\u641c\u7d22\u6811\u4e3b\u8981\u5206\u4e3a\u4e24\u5927\u5e94\u7528\u573a\u666f&#xff1a;<\/p>\n<h3>3.1 Key \u641c\u7d22\u573a\u666f&#xff08;\u5355\u5173\u952e\u7801&#xff09;<\/h3>\n<p>\u7ed3\u6784\u4e2d\u4ec5\u5b58\u50a8 Key \u4f5c\u4e3a\u5173\u952e\u7801&#xff0c;\u7528\u4e8e\u5224\u65ad\u67d0\u4e2a\u6570\u636e\u662f\u5426\u5b58\u5728&#xff1a;<\/p>\n<h4>\u573a\u666f 1&#xff08;\u5c0f\u533a\u65e0\u4eba\u503c\u5b88\u8f66\u5e93&#xff09;<\/h4>\n<p>\u7269\u4e1a\u5c06\u5df2\u4e70\u8f66\u4f4d\u7684\u4e1a\u4e3b\u8f66\u724c\u53f7\u5f55\u5165\u540e\u53f0\u7cfb\u7edf&#xff0c;\u8f66\u8f86\u8fdb\u573a\u65f6\u626b\u63cf\u8f66\u724c\u5728\u4e0d\u5728\u7cfb\u7edf\u4e8c\u53c9\u6811\u4e2d&#xff0c;\u5728\u5219\u62ac\u6746&#xff0c;\u4e0d\u5728\u5219\u63d0\u793a\u201c\u975e\u672c\u5c0f\u533a\u8f66\u8f86&#xff0c;\u65e0\u6cd5\u8fdb\u5165\u201d\u3002<\/p>\n<h4>\u573a\u666f 2&#xff08;\u82f1\u6587\u6587\u7ae0\u62fc\u5199\u68c0\u67e5&#xff09;<\/h4>\n<p>\u5c06\u8bcd\u5e93\u4e2d\u6240\u6709\u5355\u8bcd\u653e\u5165\u4e8c\u53c9\u641c\u7d22\u6811&#xff0c;\u8bfb\u53d6\u6587\u7ae0\u4e2d\u7684\u5355\u8bcd\u5e76\u5728\u6811\u4e2d\u67e5\u627e&#xff0c;\u4e0d\u5728\u5219\u6ce2\u6d6a\u7ebf\u6807\u7ea2\u63d0\u793a\u3002<\/p>\n<p>\u2b50 \u603b\u7ed3&#xff1a;\u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236 Key \u6a21\u578b\u7684\u4e8c\u53c9\u641c\u7d22\u6811\u652f\u6301\u589e\u5220\u67e5&#xff0c;\u4f46\u7edd\u5bf9\u4e0d\u652f\u6301\u4fee\u6539 Key&#xff01;\u56e0\u4e3a\u76f4\u63a5\u4fee\u6539 Key \u4f1a\u7834\u574f\u4e8c\u53c9\u641c\u7d22\u6811\u201c\u5de6\u5c0f\u53f3\u5927\u201d\u7684\u7269\u7406\u7ed3\u6784&#xff0c;\u5f15\u53d1\u68c0\u7d22\u5931\u6548\u3002<\/p>\n<h3>3.2 Key-Value \u641c\u7d22\u573a\u666f&#xff08;\u952e\u503c\u5bf9&#xff09;<\/h3>\n<p>\u6bcf\u4e00\u4e2a\u5173\u952e\u7801 Key \u90fd\u5bf9\u5e94\u4e00\u4e2a Value&#xff0c;\u67e5\u627e\u65f6\u4ee5 Key \u4e3a\u5173\u952e\u5b57\u8fdb\u884c\u6bd4\u8f83&#xff0c;\u627e\u5230\u540e\u53ef\u4ee5\u5feb\u901f\u83b7\u53d6\u6216\u4fee\u6539\u5bf9\u5e94\u7684 Value&#xff1a;<\/p>\n<h4>\u573a\u666f 1&#xff08;\u7b80\u5355\u4e2d\u82f1\u4e92\u8bd1\u5b57\u5178&#xff09;<\/h4>\n<p>\u8282\u70b9\u5b58\u50a8 &lt;Key: Value: \u4e2d\u6587\u89e3\u91ca \u82f1\u6587\u5355\u8bcd,&gt;\u3002\u8f93\u5165\u82f1\u6587\u5373\u53ef\u68c0\u7d22\u51fa\u5bf9\u5e94\u4e2d\u6587\u3002<\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">TestDictionary<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u6784\u5efa\u5b57\u5178\u6811&#xff0c;Key \u4e3a\u82f1\u6587\u5355\u8bcd&#xff0c;Value \u4e3a\u4e2d\u6587\u89e3\u91ca<\/span><br \/>\n    key_value<span class=\"token double-colon punctuation\">::<\/span>BSTree<span class=\"token operator\">&lt;<\/span>string<span class=\"token punctuation\">,<\/span> string<span class=\"token operator\">&gt;<\/span> dict<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u63d2\u5165\u82f1\u6c49\u8bcd\u6761<\/span><br \/>\n    dict<span class=\"token punctuation\">.<\/span><span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;string&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u5b57\u7b26\u4e32&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    dict<span class=\"token punctuation\">.<\/span><span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;tree&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u6811&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    dict<span class=\"token punctuation\">.<\/span><span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;left&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u5de6\u8fb9&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    dict<span class=\"token punctuation\">.<\/span><span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;right&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u53f3\u8fb9&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    string word<span class=\"token punctuation\">;<\/span><br \/>\n    cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;\u8bf7\u8f93\u5165\u8981\u67e5\u8be2\u7684\u82f1\u6587\u5355\u8bcd (\u8f93\u5165 quit \u9000\u51fa):&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cin <span class=\"token operator\">&gt;&gt;<\/span> word <span class=\"token operator\">&amp;&amp;<\/span> word <span class=\"token operator\">!&#061;<\/span> <span class=\"token string\">&#034;quit&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ Find \u67e5\u627e\u8282\u70b9&#xff0c;\u5339\u914d\u6210\u529f\u8fd4\u56de Node*&#xff0c;\u5339\u914d\u5931\u8d25\u8fd4\u56de nullptr<\/span><br \/>\n        <span class=\"token keyword\">auto<\/span> ret <span class=\"token operator\">&#061;<\/span> dict<span class=\"token punctuation\">.<\/span><span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span>word<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>ret<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;-&gt;&#034;<\/span> <span class=\"token string\">&#034;\u4e2d\u6587\u89e3\u91ca&#xff1a;&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> ret<span class=\"token operator\">-&gt;<\/span>_value <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;-&gt;&#034;<\/span> <span class=\"token string\">&#034;\u672a\u627e\u5230\u8be5\u5355\u8bcd&#xff01;&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>\u573a\u666f 2&#xff08;\u5546\u573a\u505c\u8f66\u8ba1\u8d39&#xff09;<\/h4>\n<p>\u8fdb\u573a\u65f6\u8bb0\u5f55 &lt;Key: Value: \u5165\u573a\u65f6\u95f4 \u8f66\u724c\u53f7,&gt;&#xff1b;\u79bb\u573a\u65f6\u6839\u636e\u8f66\u724c\u53f7\u67e5\u627e\u5165\u573a\u65f6\u95f4&#xff0c;\u8ba1\u7b97\u505c\u8f66\u65f6\u957f\u4e0e\u8d39\u7528\u3002<\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">TestParkingSystem<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u8f66\u5e93\u7ba1\u7406\u7cfb\u7edf&#xff0c;Key \u4e3a\u8f66\u724c\u53f7&#xff0c;Value \u4e3a\u5165\u573a\u65f6\u95f4\u6233&#xff08;\u6574\u578b\u4ee3\u8868\u5206\u949f\u6570&#xff09;<\/span><br \/>\n    key_value<span class=\"token double-colon punctuation\">::<\/span>BSTree<span class=\"token operator\">&lt;<\/span>string<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> parkingLot<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ 1. \u8f66\u8f86\u9646\u7eed\u8fdb\u5165\u8f66\u5e93&#xff0c;\u8bb0\u5f55\u5165\u573a\u65f6\u95f4&#xff08;\u5206\u949f&#xff09;<\/span><br \/>\n    parkingLot<span class=\"token punctuation\">.<\/span><span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u7ca4B66666&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">600<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ 10:00 \u5165\u573a<\/span><br \/>\n    parkingLot<span class=\"token punctuation\">.<\/span><span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u7ca4B88888&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">630<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ 10:30 \u5165\u573a<\/span><br \/>\n    parkingLot<span class=\"token punctuation\">.<\/span><span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u7ca4A12345&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">700<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ 11:40 \u5165\u573a<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ 2. \u8f66\u8f86\u51c6\u5907\u79bb\u5f00\u8f66\u5e93&#xff0c;\u5047\u8bbe\u79bb\u573a\u65f6\u95f4\u4e3a 720&#xff08;12:00&#xff09;&#xff0c;\u8d39\u7387\u4e3a 0.5\u5143\/\u5206\u949f<\/span><br \/>\n    string outCar <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;\u7ca4B66666&#034;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> leaveTime <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">720<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">auto<\/span> carNode <span class=\"token operator\">&#061;<\/span> parkingLot<span class=\"token punctuation\">.<\/span><span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span>outCar<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>carNode<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> duration <span class=\"token operator\">&#061;<\/span> leaveTime <span class=\"token operator\">&#8211;<\/span> carNode<span class=\"token operator\">-&gt;<\/span>_value<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8ba1\u7b97\u505c\u8f66\u65f6\u957f<\/span><br \/>\n        <span class=\"token keyword\">double<\/span> fee <span class=\"token operator\">&#061;<\/span> duration <span class=\"token operator\">*<\/span> <span class=\"token number\">0.5<\/span><span class=\"token punctuation\">;<\/span>                <span class=\"token comment\">\/\/ \u8ba1\u7b97\u5e94\u7f34\u8d39\u7528<\/span><br \/>\n        cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;\u8f66\u724c\u53f7: &#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> outCar<br \/>\n             <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034; | \u505c\u8f66\u65f6\u957f: &#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> duration <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;\u5206\u949f&#034;<\/span><br \/>\n             <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034; | \u5e94\u7f34\u8d39\u7528: &#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> fee <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;\u5143&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u7f34\u8d39\u7ed3\u7b97\u540e\u51fa\u5e93&#xff0c;\u4ece\u8f66\u5e93\u6811\u4e2d\u5220\u9664\u8bb0\u5f55<\/span><br \/>\n        parkingLot<span class=\"token punctuation\">.<\/span><span class=\"token function\">Erase<\/span><span class=\"token punctuation\">(<\/span>outCar<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;\u5f02\u5e38&#xff1a;\u672a\u627e\u5230\u8be5\u8f66\u8f86\u7684\u5165\u573a\u8bb0\u5f55&#xff01;&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>\u573a\u666f 3&#xff08;\u5355\u8bcd\u8bcd\u9891\u7edf\u8ba1&#xff09;<\/h4>\n<p>\u8bfb\u53d6\u5355\u8bcd&#xff0c;\u4e0d\u5b58\u5728\u5219\u63d2\u5165 &lt;\u5355\u8bcd, 1&gt;&#xff1b;\u5b58\u5728\u5219\u5c06\u8282\u70b9\u4e2d\u5bf9\u5e94\u7684\u6b21\u6570 Value&#043;&#043;\u3002<\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">TestWordCount<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u6c34\u679c\u540d\u79f0\u51fa\u73b0\u9891\u6b21\u7edf\u8ba1<\/span><br \/>\n    string arr<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token string\">&#034;\u82f9\u679c&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u897f\u74dc&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u82f9\u679c&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u897f\u74dc&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u82f9\u679c&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u9999\u8549&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u82f9\u679c&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;\u9999\u8549&#034;<\/span> <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    key_value<span class=\"token double-colon punctuation\">::<\/span>BSTree<span class=\"token operator\">&lt;<\/span>string<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> countTree<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> <span class=\"token keyword\">auto<\/span><span class=\"token operator\">&amp;<\/span> str <span class=\"token operator\">:<\/span> arr<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">auto<\/span> node <span class=\"token operator\">&#061;<\/span> countTree<span class=\"token punctuation\">.<\/span><span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span>str<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>node <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u7b2c\u4e00\u6b21\u51fa\u73b0&#xff1a;\u63d2\u5165\u8282\u70b9&#xff0c;\u8ba1\u6570&#xff08;Value&#xff09;\u521d\u59cb\u5316\u4e3a 1<\/span><br \/>\n            countTree<span class=\"token punctuation\">.<\/span><span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span>str<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5df2\u5b58\u5728\u8be5\u8282\u70b9&#xff1a;\u5229\u7528 Find \u8fd4\u56de\u7684\u8282\u70b9\u6307\u9488&#xff0c;\u76f4\u63a5\u9012\u589e\u5176 Value<\/span><br \/>\n            node<span class=\"token operator\">-&gt;<\/span>_value<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u4e2d\u5e8f\u904d\u5386\u6253\u5370\u6700\u7ec8\u8bcd\u9891\u7edf\u8ba1\u7ed3\u679c<\/span><br \/>\n    cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;\u6c34\u679c\u8bcd\u9891\u7edf\u8ba1\u7ed3\u679c&#xff1a;&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n    countTree<span class=\"token punctuation\">.<\/span><span class=\"token function\">InOrder<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u603b\u7ed3&#xff1a;\u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236 Key-Value \u6a21\u578b\u652f\u6301\u4fee\u6539 Value&#xff0c;\u4f46\u4f9d\u7136\u7981\u6b62\u4fee\u6539 Key\u3002\u4fee\u6539 Value \u4e0d\u4f1a\u6539\u53d8\u8282\u70b9\u5728\u6811\u4e2d\u7684\u6392\u5e03\u4f4d\u7f6e&#xff0c;\u56e0\u6b64\u662f\u5b8c\u5168\u5b89\u5168\u7684\u64cd\u4f5c\u3002<\/p>\n<h2>4. \u8282\u70b9\u4e0e\u7c7b\u7684 C&#043;&#043; \u62bd\u8c61\u5b9a\u4e49<\/h2>\n<p><span class=\"token keyword\">namespace<\/span> key_value<br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u4e8c\u53c9\u641c\u7d22\u6811\u8282\u70b9\u7ed3\u6784\u4f53&#xff08;Key-Value \u6a21\u578b&#xff09;<\/span><br \/>\n    <span class=\"token keyword\">template<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">K<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">V<\/span><span class=\"token operator\">&gt;<\/span><br \/>\n    <span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">BSTNode<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        K _key<span class=\"token punctuation\">;<\/span>                 <span class=\"token comment\">\/\/ \u5173\u952e\u5b57 Key<\/span><br \/>\n        V _value<span class=\"token punctuation\">;<\/span>               <span class=\"token comment\">\/\/ \u6620\u5c04\u503c Value<\/span><br \/>\n        BSTNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _left<span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u6307\u5411\u5de6\u5b69\u5b50\u7684\u6307\u9488<\/span><br \/>\n        BSTNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _right<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u6307\u5411\u53f3\u5b69\u5b50\u7684\u6307\u9488<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u8282\u70b9\u6784\u9020\u51fd\u6570<\/span><br \/>\n        <span class=\"token function\">BSTNode<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> V<span class=\"token operator\">&amp;<\/span> value<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token operator\">:<\/span> <span class=\"token function\">_key<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">,<\/span> <span class=\"token function\">_value<\/span><span class=\"token punctuation\">(<\/span>value<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">,<\/span> <span class=\"token function\">_left<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">,<\/span> <span class=\"token function\">_right<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u4e8c\u53c9\u641c\u7d22\u6811\u7c7b\u5b9a\u4e49<\/span><br \/>\n    <span class=\"token keyword\">template<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">K<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">V<\/span><span class=\"token operator\">&gt;<\/span><br \/>\n    <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">BSTree<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">typedef<\/span> BSTNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span> Node<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5185\u90e8\u91cd\u547d\u540d&#xff0c;\u7b80\u5316\u4e66\u5199<\/span><br \/>\n    <span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n        <span class=\"token function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">default<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ C&#043;&#043;11 \u663e\u5f0f\u751f\u6210\u9ed8\u8ba4\u6784\u9020\u51fd\u6570<\/span><\/p>\n<p>    <span class=\"token keyword\">private<\/span><span class=\"token operator\">:<\/span><br \/>\n        Node<span class=\"token operator\">*<\/span> _root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u7c7b\u5185\u521d\u59cb\u5316&#xff0c;\u9632\u6b62\u91ce\u6307\u9488<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u6a21\u677f\u6cdb\u578b\u8bbe\u8ba1&#xff1a;\u901a\u8fc7 template&lt;class K, class V&gt; \u5b9e\u73b0 Key \u4e0e Value \u7684\u89e3\u8026&#xff0c;\u652f\u6301\u4efb\u610f\u7c7b\u578b\u7684\u6bd4\u8f83\u4e0e\u6620\u5c04\u3002<\/p>\n<p>\u7c7b\u5185\u7f3a\u7701\u503c&#xff08;C&#043;&#043;11&#xff09;&#xff1a;\u7ed9 _root \u8d4b\u4e88\u521d\u59cb\u503c nullptr&#xff0c;\u907f\u514d\u65e0\u53c2\u6784\u9020\u51fd\u6570\u5fd8\u8bb0\u521d\u59cb\u5316\u800c\u4ea7\u751f\u91ce\u6307\u9488\u5371\u9669\u3002<\/p>\n<h2>5. \u67e5\u627e\u7b97\u6cd5&#xff08;Find&#xff09;\u5256\u6790<\/h2>\n<p>\u67e5\u627e\u662f\u4e8c\u53c9\u641c\u7d22\u6811\u6700\u57fa\u7840\u7684\u64cd\u4f5c&#xff0c;\u6838\u5fc3\u601d\u60f3\u662f\u5229\u7528\u6811\u7684\u6709\u5e8f\u6027\u8fdb\u884c\u4e8c\u5206\u8def\u5f84\u6392\u9664\u3002<\/p>\n<p>Node<span class=\"token operator\">*<\/span> <span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    Node<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u4ece\u6839\u8282\u70b9\u5f00\u59cb\u67e5\u627e<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u76ee\u6807 key \u5927\u4e8e\u5f53\u524d\u8282\u70b9&#xff0c;\u8f6c\u5411\u53f3\u5b50\u6811<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u76ee\u6807 key \u5c0f\u4e8e\u5f53\u524d\u8282\u70b9&#xff0c;\u8f6c\u5411\u5de6\u5b50\u6811<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> cur<span class=\"token punctuation\">;<\/span>        <span class=\"token comment\">\/\/ \u5339\u914d\u6210\u529f&#xff0c;\u8fd4\u56de\u8282\u70b9\u6307\u9488<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span>            <span class=\"token comment\">\/\/ \u904d\u5386\u7ed3\u675f\u672a\u627e\u5230&#xff0c;\u8fd4\u56de\u7a7a\u6307\u9488<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a; \u4e8c\u5206\u6392\u9664\u673a\u5236&#xff1a;\u5229\u7528 BST \u201c\u5de6\u5c0f\u53f3\u5927\u201d \u7684\u6027\u8d28&#xff0c;\u6bcf\u6b21\u6bd4\u8f83\u540e\u90fd\u80fd\u76f4\u63a5\u6392\u9664\u6574\u6574\u534a\u8fb9\u5b50\u6811&#xff0c;\u67e5\u627e\u6b21\u6570\u6700\u591a\u7b49\u4e8e\u6811\u7684\u9ad8\u5ea6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        H<\/p>\n<p>       H<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u8fd4\u56de\u503c\u8bbe\u8ba1&#xff1a;\u8fd4\u56de Node* \u6307\u9488\u800c\u975e\u5e03\u5c14\u503c&#xff0c;\u65b9\u4fbf\u5728 Key-Value \u6a21\u578b\u4e2d\u67e5\u627e\u5230\u8282\u70b9\u540e&#xff0c;\u76f4\u63a5\u5bf9 cur-&gt;_value \u8fdb\u884c\u8bfb\u5199\u4e0e\u4fee\u6539&#xff08;\u4f8b\u5982\u8bcd\u9891\u7edf\u8ba1\u65f6\u7684 ret-&gt;_value&#043;&#043;&#xff09;\u3002<\/p>\n<h2>6. \u63d2\u5165\u7b97\u6cd5&#xff08;Insert&#xff09;\u5206\u6bb5\u62c6\u89e3\u4e0e\u7b54\u7591<\/h2>\n<p>\u63d2\u5165\u7b97\u6cd5\u7684\u76ee\u6807\u662f\u5bfb\u627e\u5408\u9002\u7684\u7a7a\u4f4d\u843d\u811a&#xff0c;\u5e76\u5efa\u7acb\u7236\u5b50\u8282\u70b9\u7684\u7269\u7406\u94fe\u63a5\u3002\u6211\u4eec\u5c06 Insert \u51fd\u6570\u62c6\u89e3\u4e3a 3 \u4e2a\u6b65\u9aa4 \u9010\u4e00\u89e3\u6790&#xff1a;<\/p>\n<h3>6.1 \u6b65\u9aa4 1&#xff1a;\u7279\u5224\u7a7a\u6811\u903b\u8f91<\/h3>\n<p><span class=\"token comment\">\/\/ 1. \u7a7a\u6811\u7279\u5224<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>_root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    _root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">,<\/span> value<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u76f4\u63a5\u5f00\u8f9f\u8282\u70b9\u4f5c\u4e3a\u6839\u8282\u70b9<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u5f53\u6811\u4e3a\u7a7a&#xff08;_root &#061;&#061; nullptr&#xff09;\u65f6&#xff0c;\u6ca1\u6709\u7236\u8282\u70b9\u53ef\u4f9b\u94fe\u63a5\u3002\u6b64\u65f6\u76f4\u63a5\u5f00\u8f9f\u65b0\u8282\u70b9\u8d4b\u503c\u7ed9 _root \u5373\u53ef\u5b8c\u6210\u63d2\u5165\u3002<\/p>\n<h3>6.2 \u6b65\u9aa4 2&#xff1a;\u8fed\u4ee3\u5bfb\u627e\u843d\u811a\u70b9\u5e76\u8bb0\u5f55\u7236\u8282\u70b9&#xff08;Parent \u8ffd\u8e2a&#xff09;<\/h3>\n<p>Node<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5b9e\u65f6\u8bb0\u5f55 cur \u7684\u7236\u8282\u70b9<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span>      <span class=\"token comment\">\/\/ \u4ece\u6839\u5f00\u59cb\u5bfb\u627e\u843d\u811a\u70b9<\/span><\/p>\n<p><span class=\"token comment\">\/\/ 2. \u8fed\u4ee3\u67e5\u627e\u7a7a\u843d\u811a\u70b9<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span>       <span class=\"token comment\">\/\/ \u5f80\u4e0b\u8d70\u4e4b\u524d\u8bb0\u5f55\u5f53\u524d\u8282\u70b9\u4e3a parent<\/span><br \/>\n        cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u6bd4\u5f53\u524d\u8282\u70b9\u5927&#xff0c;\u5411\u53f3\u5bfb\u627e<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span>       <span class=\"token comment\">\/\/ \u5f80\u4e0b\u8d70\u4e4b\u524d\u8bb0\u5f55\u5f53\u524d\u8282\u70b9\u4e3a parent<\/span><br \/>\n        cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u6bd4\u5f53\u524d\u8282\u70b9\u5c0f&#xff0c;\u5411\u5de6\u5bfb\u627e<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span>       <span class=\"token comment\">\/\/ \u5df2\u5b58\u5728\u76f8\u540c\u7684 key&#xff0c;\u4e0d\u5141\u8bb8\u5197\u4f59&#xff0c;\u63d2\u5165\u5931\u8d25<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>&#x1f454; \u9762\u8bd5\u5e38\u8003&#xff1a;\u4e3a\u4ec0\u4e48\u5fc5\u987b\u521b\u9020 parent \u6307\u9488&#xff1f; \u5f53 while (cur) \u5faa\u73af\u7ed3\u675f\u65f6&#xff0c;cur \u672c\u8eab\u5df2\u7ecf\u53d8\u6210\u4e86 nullptr\u3002\u5728 C&#043;&#043; \u4e2d&#xff0c;\u7a7a\u6307\u9488\u65e0\u6cd5\u8fdb\u884c\u89e3\u5f15\u7528\u53bb\u4fee\u6539\u4e0a\u7ea7\u8282\u70b9\u7684 _left \u6216 _right \u6307\u9488&#xff01;\u56e0\u6b64\u5fc5\u987b\u5728\u6bcf\u6b21\u79fb\u52a8 cur \u524d\u7528 parent \u8bb0\u5f55\u7236\u8282\u70b9\u5730\u5740&#xff0c;\u6700\u540e\u901a\u8fc7 parent \u5b8c\u6210\u65b0\u8282\u70b9\u7684\u6302\u63a5\u3002<\/p>\n<p>\u53bb\u91cd\u6821\u9a8c&#xff1a; \u5411\u4e0b\u5bfb\u627e\u843d\u811a\u70b9\u65f6&#xff0c;\u5982\u679c\u53d1\u73b0 cur-&gt;_key &#061;&#061; key&#xff0c;\u8bf4\u660e\u6811\u4e2d\u5df2\u5b58\u5728\u76f8\u540c\u5173\u952e\u7801&#xff0c;\u76f4\u63a5\u8fd4\u56de false \u7ec8\u6b62\u63d2\u5165&#xff0c;\u7ef4\u62a4 Key \u7684\u552f\u4e00\u6027\u3002<\/p>\n<h3>6.3 \u6b65\u9aa4 3&#xff1a;\u5f00\u8f9f\u65b0\u8282\u70b9\u4e0e\u7236\u8282\u70b9\u7269\u7406\u6302\u63a5<\/h3>\n<p><span class=\"token comment\">\/\/ 3. cur \u4e3a nullptr&#xff0c;\u5f00\u8f9f\u65b0\u8282\u70b9\u5e76\u901a\u8fc7 parent \u5efa\u7acb\u7269\u7406\u94fe\u63a5<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">,<\/span> value<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u6bd4 parent \u5927&#xff0c;\u6302\u5728\u53f3\u5b69\u5b50\u4f4d\u7f6e<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span>    <span class=\"token comment\">\/\/ \u6bd4 parent \u5c0f&#xff0c;\u6302\u5728\u5de6\u5b69\u5b50\u4f4d\u7f6e<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u7ecf\u8fc7 while \u5faa\u73af\u964d\u843d\u5230\u7a7a\u843d\u811a\u70b9\u540e&#xff0c;new \u51fa\u65b0\u8282\u70b9\u8d4b\u503c\u7ed9 cur\u3002<\/p>\n<p>\u5c06\u65b0\u8282\u70b9\u7684 key \u4e0e parent-&gt;_key \u6bd4\u8f83\u5927\u5c0f&#xff1a;\u82e5\u8f83\u5927\u5219\u6302\u63a5\u5728 parent-&gt;_right&#xff0c;\u82e5\u8f83\u5c0f\u5219\u6302\u63a5\u5728 parent-&gt;_left&#xff0c;\u5b8c\u6210\u65b0\u8282\u70b9\u5411\u539f\u6811\u4e0a\u7684\u7269\u7406\u6302\u8f7d\u3002<\/p>\n<h3>6.4 Insert \u63a5\u53e3\u5b8c\u6574\u4ee3\u7801<\/h3>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> V<span class=\"token operator\">&amp;<\/span> value<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ 1. \u7a7a\u6811\u7279\u5224<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>_root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        _root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">,<\/span> value<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    Node<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    Node<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ 2. \u8fed\u4ee3\u67e5\u627e\u7a7a\u843d\u811a\u70b9<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n            cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n            cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u4e0d\u5141\u8bb8\u5197\u4f59&#xff0c;\u63d2\u5165\u5931\u8d25<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ 3. \u5efa\u7acb\u7236\u5b50\u8282\u70b9\u7269\u7406\u94fe\u63a5<\/span><br \/>\n    cur <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">,<\/span> value<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><br \/>\n        parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h2>7. \u5220\u9664\u7b97\u6cd5&#xff08;Erase&#xff09;\u4e09\u5927\u573a\u666f\u6df1\u5ea6\u62c6\u89e3\u3010\u91cd\u70b9\/\u96be\u70b9&#x1f4cc;\u3011<\/h2>\n<p>\u5220\u9664\u8282\u70b9\u662f BST \u4e2d\u6700\u590d\u6742\u7684\u903b\u8f91\u3002\u5f53\u5b9a\u4f4d\u5230\u5f85\u5220\u9664\u8282\u70b9 cur \u540e&#xff0c;\u4e3a\u4e86\u5728\u91ca\u653e cur \u540e\u4e0d\u7834\u574f\u6574\u68f5\u6811\u7684\u6709\u5e8f\u7ed3\u6784&#xff0c;\u5fc5\u987b\u6839\u636e cur \u62e5\u6709\u7684\u5b50\u8282\u70b9\u60c5\u51b5\u5206\u4e3a \u4e09\u5927\u573a\u666f \u5904\u7406&#xff1a;<\/p>\n<h3>7.1 \u573a\u666f 1&#xff1a;\u8981\u5220\u9664\u8282\u70b9 cur \u7684\u5de6\u5b69\u5b50\u4e3a\u7a7a&#xff08;\u6258\u5b64\u53f3\u5b69\u5b50&#xff09;<\/h3>\n<p><span class=\"token comment\">\/\/ \u573a\u666f 1&#xff1a;cur \u7684\u5de6\u5b69\u5b50\u4e3a\u7a7a<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        _root <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u7279\u4f8b&#xff1a;\u5220\u9664\u7684\u662f\u6839\u8282\u70b9<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n            parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ cur \u662f\u7236\u8282\u70b9\u7684\u5de6\u5b69\u5b50&#xff0c;\u628a cur \u7684\u53f3\u5b69\u5b50\u6258\u5b64\u7ed9 parent \u7684\u5de6\u8fb9<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n            parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ cur \u662f\u7236\u8282\u70b9\u7684\u53f3\u5b69\u5b50&#xff0c;\u628a cur \u7684\u53f3\u5b69\u5b50\u6258\u5b64\u7ed9 parent \u7684\u53f3\u8fb9<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">delete<\/span> cur<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u91ca\u653e\u7269\u7406\u7a7a\u95f4<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u6258\u5b64\u903b\u8f91&#xff1a;\u5f53 cur \u6ca1\u6709\u5de6\u5b69\u5b50\u65f6&#xff08;\u5305\u542b\u5de6\u53f3\u5b69\u5b50\u5747\u4e3a\u7a7a\u7684\u53f6\u5b50\u8282\u70b9\u60c5\u51b5&#xff09;&#xff0c;cur \u6700\u591a\u53ea\u6709\u4e00\u4e2a\u53f3\u5b69\u5b50\u3002\u6b64\u65f6\u76f4\u63a5\u5c06 cur-&gt;_right\u201c\u6258\u5b64\u201d\u7ed9\u7236\u8282\u70b9 parent \u94fe\u63a5\u5373\u53ef\u3002<\/p>\n<p>\u6839\u8282\u70b9\u7279\u4f8b&#xff08;parent &#061;&#061; nullptr&#xff09;&#xff1a;\u82e5\u5220\u9664\u7684\u662f\u6839\u8282\u70b9 _root&#xff0c;\u6b64\u65f6 parent \u4e3a\u521d\u59cb\u503c nullptr&#xff0c;\u65e0\u6cd5\u89e3\u5f15\u7528\u3002\u5fc5\u987b\u7279\u5224\u76f4\u63a5\u66f4\u65b0 _root &#061; cur-&gt;_right\u3002<\/p>\n<p>\u4f8b\u56fe&#xff1a; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261029123257-6ae33cf980a1e.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>7.2 \u573a\u666f 2&#xff1a;\u8981\u5220\u9664\u8282\u70b9 cur \u7684\u53f3\u5b69\u5b50\u4e3a\u7a7a&#xff08;\u6258\u5b64\u5de6\u5b69\u5b50&#xff09;<\/h3>\n<p><span class=\"token comment\">\/\/ \u573a\u666f 2&#xff1a;cur \u7684\u53f3\u5b69\u5b50\u4e3a\u7a7a<\/span><br \/>\n<span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        _root <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u7279\u4f8b&#xff1a;\u5220\u9664\u7684\u662f\u6839\u8282\u70b9<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n            parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ cur \u662f\u7236\u8282\u70b9\u7684\u5de6\u5b69\u5b50&#xff0c;\u628a cur \u7684\u5de6\u5b69\u5b50\u6258\u5b64\u7ed9 parent \u7684\u5de6\u8fb9<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n            parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ cur \u662f\u7236\u8282\u70b9\u7684\u53f3\u5b69\u5b50&#xff0c;\u628a cur \u7684\u5de6\u5b69\u5b50\u6258\u5b64\u7ed9 parent \u7684\u53f3\u8fb9<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">delete<\/span> cur<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u91ca\u653e\u7269\u7406\u7a7a\u95f4<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u5904\u7406\u65b9\u5f0f\u4e0e\u573a\u666f 1 \u5b8c\u5168\u5bf9\u79f0\u3002\u5f53 cur \u6ca1\u6709\u53f3\u5b69\u5b50\u65f6&#xff0c;\u76f4\u63a5\u5c06\u5176\u5de6\u5b69\u5b50\u201c\u6258\u5b64\u201d\u7ed9 parent&#xff1b;\u82e5\u5220\u9664\u7684\u662f\u6839\u8282\u70b9&#xff0c;\u66f4\u65b0 _root &#061; cur-&gt;_left\u3002<\/p>\n<p>\u4f8b\u56fe&#xff1a; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261029123257-6ae33cf9a4f45.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>7.3 \u573a\u666f 3&#xff1a;\u8981\u5220\u9664\u8282\u70b9 cur \u7684\u5de6\u53f3\u5b69\u5b50\u90fd\u4e0d\u4e3a\u7a7a&#xff08;\u66ff\u6362\u6cd5&#xff09;<\/h3>\n<p>\u5f53 cur \u65e2\u6709\u5de6\u5b69\u5b50\u53c8\u6709\u53f3\u5b69\u5b50\u65f6\u65e0\u6cd5\u76f4\u63a5\u201c\u6258\u5b64\u201d\u3002\u6b64\u65f6\u91c7\u7528 \u66ff\u6362\u6cd5&#xff08;Substitution Method&#xff09;&#xff1a;\u5bfb\u627e\u4e00\u4e2a\u66ff\u4ee3\u8282\u70b9\u8986\u76d6 cur \u7684\u6570\u636e&#xff0c;\u8f6c\u800c\u9500\u6bc1\u771f\u6b63\u7684\u66ff\u4ee3\u8282\u70b9\u3002<\/p>\n<p><span class=\"token comment\">\/\/ \u573a\u666f 3&#xff1a;cur \u7684\u5de6\u53f3\u5b69\u5b50\u5747\u4e0d\u4e3a\u7a7a&#xff08;\u66ff\u6362\u6cd5&#xff09;<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ 1. \u5bfb\u627e\u53f3\u5b50\u6811\u6700\u5de6\u8282\u70b9 rightMin&#xff08;\u53f3\u5b50\u6811\u6700\u5c0f\u503c&#xff09;<\/span><br \/>\n    Node<span class=\"token operator\">*<\/span> rightMinP <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ &#x1f4cc;\u5173\u952e\u5751\u70b9&#xff1a;\u5fc5\u987b\u521d\u59cb\u5316\u4e3a cur&#xff0c;\u4e0d\u80fd\u7ed9 nullptr&#xff01;<\/span><br \/>\n    Node<span class=\"token operator\">*<\/span> rightMin <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>rightMin<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        rightMinP <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token punctuation\">;<\/span><br \/>\n        rightMin <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8fed\u4ee3\u5411\u5de6\u627e\u6700\u5c0f\u503c<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ 2. \u6570\u636e\u8986\u76d6&#xff1a;\u7528\u66ff\u4ee3\u8282\u70b9\u7684\u503c\u8986\u76d6 cur \u7684\u503c<\/span><br \/>\n    cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">;<\/span><br \/>\n    cur<span class=\"token operator\">-&gt;<\/span>_value <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_value<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ 3. \u7269\u7406\u9500\u6bc1\u66ff\u4ee3\u8282\u70b9 rightMin&#xff08;\u6258\u5b64 rightMin \u7684\u53f3\u5b69\u5b50&#xff09;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>rightMinP<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> rightMin<span class=\"token punctuation\">)<\/span><br \/>\n        rightMinP<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">else<\/span><br \/>\n        rightMinP<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">delete<\/span> rightMin<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6ce8\u610f&#xff1a;\u5185\u5b58\u4e2d\u91ca\u653e\u7684\u662f\u771f\u5b9e\u7684\u66ff\u4ee3\u8282\u70b9 rightMin&#xff01;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u66ff\u6362\u8282\u70b9\u7684\u9009\u62e9&#xff1a;\u53f3\u5b50\u6811\u7684\u6700\u5de6\u8282\u70b9 rightMin \u662f\u6574\u4e2a\u53f3\u5b50\u6811\u4e2d\u7684\u6700\u5c0f\u503c&#xff0c;\u5c06\u5176\u503c\u8986\u76d6\u5230 cur \u8282\u70b9\u4e0a&#xff0c;\u4f9d\u7136\u5b8c\u5168\u7ef4\u6301 BST\u201c\u5de6\u5c0f\u53f3\u5927\u201d\u7684\u7269\u7406\u89c4\u5219\u3002<\/p>\n<p>\u964d\u7ef4\u5220\u9664&#xff1a;\u7531\u4e8e rightMin \u662f\u6700\u5de6\u8282\u70b9&#xff0c;\u5b83\u7684\u5de6\u5b69\u5b50\u5fc5\u5b9a\u4e3a\u7a7a&#xff08;rightMin-&gt;_left &#061;&#061; nullptr&#xff09;\u3002\u8fd9\u4f7f\u5f97\u5bf9 rightMin \u7684\u5220\u9664\u5b8c\u7f8e\u964d\u7ef4\u8f6c\u5316\u6210\u573a\u666f 1&#xff0c;\u53ea\u9700\u6258\u5b64\u5176\u53f3\u5b69\u5b50 rightMin-&gt;_right \u5373\u53ef\u3002<\/p>\n<p>&#x1f454; \u9762\u8bd5\u5e38\u8003\u907f\u5751\u70b9&#xff1a;rightMinP \u4e3a\u4ec0\u4e48\u5fc5\u987b\u521d\u59cb\u5316\u4e3a cur&#xff0c;\u800c\u4e0d\u80fd\u7ed9 nullptr&#xff1f;<\/p>\n<p>\u601d\u8003\u6781\u7aef\u7279\u4f8b&#xff1a; \u8981\u5220\u9664\u6839\u8282\u70b9 8&#xff0c;\u5176\u53f3\u5b69\u5b50 10 \u521a\u597d\u6ca1\u6709\u5de6\u5b69\u5b50\u3002 \u5982\u56fe\u6240\u793a&#xff1a; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261029123257-6ae33cf9c92d6.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5f53\u4ee3\u7801\u6267\u884c while (rightMin-&gt;_left) \u65f6&#xff0c;\u56e0 10-&gt;_left &#061;&#061; nullptr&#xff0c;\u5faa\u73af\u4e00\u6b21\u90fd\u4e0d\u8fdb&#xff01;<\/p>\n<ul>\n<li>\n<p>\u6b64\u65f6 rightMin \u4e3a 10\u3002<\/p>\n<\/li>\n<li>\n<p>\u5982\u679c\u5c06 rightMinP \u521d\u59cb\u5316\u4e3a nullptr&#xff0c;\u5faa\u73af\u4e0d\u8fdb\u5bfc\u81f4 rightMinP \u7ef4\u6301 nullptr\u3002\u540e\u7eed\u6267\u884c rightMinP-&gt;_left \u6216 rightMinP-&gt;_right \u65f6&#xff0c;\u4f1a\u76f4\u63a5\u5f15\u53d1\u81f4\u547d\u7684\u7a7a\u6307\u9488\u89e3\u5f15\u7528\u5d29\u6e83&#xff08;Segmentation Fault&#xff09;&#xff01;<\/p>\n<\/li>\n<li>\n<p>\u5c06 rightMinP \u521d\u59cb\u5316\u4e3a cur&#xff08;8&#xff09;&#xff1a;\u5faa\u73af\u4e0d\u8fdb\u65f6 rightMinP \u4ecd\u6307\u5411 8\u3002\u4ee3\u7801\u8d70 else \u5206\u652f&#xff1a;rightMinP-&gt;_right &#061; rightMin-&gt;_right&#xff0c;\u6b63\u786e\u628a 8 \u7684\u53f3\u6307\u9488\u6302\u63a5\u5230\u4e86 14&#xff0c;\u903b\u8f91\u5b8c\u7f8e\u95ed\u73af&#xff01;<\/p>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261029123257-6ae33cf9debad.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>7.4 Erase \u63a5\u53e3\u5b8c\u6574\u4ee3\u7801<\/h3>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">Erase<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    Node<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8bb0\u5f55 cur \u7684\u7236\u8282\u70b9<\/span><br \/>\n    Node<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span>      <span class=\"token comment\">\/\/ \u4ece\u6839\u8282\u70b9\u67e5\u627e\u5f85\u5220\u9664\u8282\u70b9<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n            cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n            cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5339\u914d\u6210\u529f&#xff0c;\u6309\u4e09\u5927\u573a\u666f\u5904\u7406&#xff1a;<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ \u3010\u573a\u666f 1\u3011&#xff1a;cur \u7684\u5de6\u5b69\u5b50\u4e3a\u7a7a<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    _root <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">else<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n                        parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token keyword\">else<\/span><br \/>\n                        parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">delete<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u3010\u573a\u666f 2\u3011&#xff1a;cur \u7684\u53f3\u5b69\u5b50\u4e3a\u7a7a<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    _root <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">else<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n                        parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token keyword\">else<\/span><br \/>\n                        parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">delete<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u3010\u573a\u666f 3\u3011&#xff1a;cur \u7684\u5de6\u53f3\u5b69\u5b50\u5747\u4e0d\u4e3a\u7a7a&#xff08;\u66ff\u6362\u6cd5&#xff09;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                Node<span class=\"token operator\">*<\/span> rightMinP <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5fc5\u987b\u521d\u59cb\u5316\u4e3a cur&#xff0c;\u9632\u6b62\u7a7a\u6307\u9488\u89e3\u5f15\u7528\u5d29\u6e83<\/span><br \/>\n                Node<span class=\"token operator\">*<\/span> rightMin <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><\/p>\n<p>                <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>rightMin<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    rightMinP <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token punctuation\">;<\/span><br \/>\n                    rightMin <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><\/p>\n<p>                cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">;<\/span><br \/>\n                cur<span class=\"token operator\">-&gt;<\/span>_value <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_value<span class=\"token punctuation\">;<\/span><\/p>\n<p>                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>rightMinP<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> rightMin<span class=\"token punctuation\">)<\/span><br \/>\n                    rightMinP<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">else<\/span><br \/>\n                    rightMinP<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><\/p>\n<p>                <span class=\"token keyword\">delete<\/span> rightMin<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u672a\u627e\u5230\u8282\u70b9&#xff0c;\u5220\u9664\u5931\u8d25<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h2>8. \u8f85\u52a9\u6210\u5458\u51fd\u6570\u4e0e\u5c01\u88c5\u7b56\u7565<\/h2>\n<h3>8.1 \u9012\u5f52\u63a5\u53e3\u7684\u79c1\u6709\u5c01\u88c5\u7b56\u7565<\/h3>\n<p><span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u516c\u6709\u65e0\u53c2\u5916\u58f3\u63a5\u53e3&#xff1a;\u89e3\u51b3\u5916\u90e8\u5bf9\u8c61\u65e0\u6cd5\u83b7\u53d6\u79c1\u6709 _root \u6307\u9488\u7684\u95ee\u9898<\/span><br \/>\n    <span class=\"token keyword\">void<\/span> <span class=\"token function\">InOrder<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        cout <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">private<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u79c1\u6709\u9012\u5f52\u4e2d\u5e8f\u904d\u5386\u8f85\u52a9\u51fd\u6570&#xff08;\u5de6 -&gt; \u6839 -&gt; \u53f3&#xff09;<\/span><br \/>\n    <span class=\"token keyword\">void<\/span> <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        cout <span class=\"token operator\">&lt;&lt;<\/span> root<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;:&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> root<span class=\"token operator\">-&gt;<\/span>_value <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u5c01\u88c5\u4fdd\u62a4&#xff1a;_root \u662f\u7c7b\u7684\u79c1\u6709\u6210\u5458&#xff0c;\u5916\u90e8 main \u51fd\u6570\u65e0\u6cd5\u83b7\u53d6 _root \u6307\u9488\u3002\u63d0\u4f9b\u65e0\u53c2\u7684\u516c\u6709 InOrder() \u5916\u58f3&#xff0c;\u5185\u90e8\u9690\u5f0f\u4f20\u5165\u79c1\u6709 _root \u8c03\u7528\u9012\u5f52\u8f85\u52a9\u51fd\u6570 _InOrder&#xff0c;\u6781\u5927\u5730\u63d0\u5347\u4e86\u7c7b\u7684\u5c01\u88c5\u6027\u3002<\/p>\n<h3>8.2 \u6df1\u62f7\u8d1d\u6784\u9020\u4e0e\u540e\u5e8f\u6790\u6784<\/h3>\n<p><span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u62f7\u8d1d\u6784\u9020\u51fd\u6570&#xff1a;\u8c03\u7528\u524d\u5e8f\u6df1\u62f7\u8d1d Copy<\/span><br \/>\n    <span class=\"token function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> t<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        _root <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>t<span class=\"token punctuation\">.<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u6790\u6784\u51fd\u6570&#xff1a;\u8c03\u7528\u540e\u5e8f\u9500\u6bc1 Destroy<\/span><br \/>\n    <span class=\"token operator\">~<\/span><span class=\"token function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        _root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">private<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u524d\u5e8f\u6df1\u62f7\u8d1d&#xff1a;\u5148\u5f00\u8f9f\u6839\u8282\u70b9&#xff0c;\u518d\u9012\u5f52\u590d\u5236\u5de6\u53f3\u5b50\u6811<\/span><br \/>\n    Node<span class=\"token operator\">*<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        Node<span class=\"token operator\">*<\/span> newRoot <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">,<\/span> root<span class=\"token operator\">-&gt;<\/span>_value<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        newRoot<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        newRoot<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> newRoot<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u540e\u5e8f\u9500\u6bc1&#xff1a;\u5148\u9012\u5f52\u91ca\u653e\u5de6\u53f3\u5b50\u6811&#xff0c;\u6700\u540e\u91ca\u653e\u6839\u8282\u70b9<\/span><br \/>\n    <span class=\"token keyword\">void<\/span> <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u5148\u9500\u6bc1\u5de6\u5b50\u6811<\/span><br \/>\n        <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u518d\u9500\u6bc1\u53f3\u5b50\u6811<\/span><br \/>\n        <span class=\"token keyword\">delete<\/span> root<span class=\"token punctuation\">;<\/span>            <span class=\"token comment\">\/\/ \u6700\u540e\u91ca\u653e\u6839\u8282\u70b9<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u524d\u5e8f\u6df1\u62f7\u8d1d&#xff1a;\u6309\u7167\u201c\u6839 -&gt; \u5de6 -&gt; \u53f3\u201d\u987a\u5e8f&#xff0c;\u5148\u5f00\u8f9f\u65b0\u6839\u8282\u70b9&#xff0c;\u518d\u6302\u63a5\u6df1\u62f7\u8d1d\u51fa\u7684\u5de6\u53f3\u5b50\u6811\u3002<\/p>\n<p>\u540e\u5e8f\u6790\u6784\u6e05\u7406&#xff1a;\u6309\u7167\u201c\u5de6 -&gt; \u53f3 -&gt; \u6839\u201d\u987a\u5e8f&#xff0c;\u5fc5\u987b\u5148\u9012\u5f52\u91ca\u653e\u5b50\u6811\u8d44\u6e90&#xff0c;\u6700\u540e\u91ca\u653e\u7236\u8282\u70b9&#xff0c;\u9632\u6b62\u51fa\u73b0\u91ce\u6307\u9488\u4e0e\u5185\u5b58\u6cc4\u6f0f\u3002<\/p>\n<h3>8.3 \u73b0\u4ee3\u5199\u6cd5\u8d4b\u503c\u91cd\u8f7d<\/h3>\n<p><span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u73b0\u4ee3\u5199\u6cd5\u8d4b\u503c\u8fd0\u7b97\u7b26\u91cd\u8f7d<\/span><br \/>\n    BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> <span class=\"token keyword\">operator<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span>BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span> t<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>_root<span class=\"token punctuation\">,<\/span> t<span class=\"token punctuation\">.<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token operator\">*<\/span><span class=\"token keyword\">this<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>\u2b50 \u8bed\u6cd5\u7ec6\u8282\u4e0e\u884c\u4e3a\u673a\u5236&#xff1a;<\/p>\n<p>\u4f20\u503c\u89e6\u53d1\u81ea\u52a8\u62f7\u8d1d&#xff1a;\u5f62\u53c2 t \u91c7\u7528\u6309\u503c\u4f20\u9012&#xff08;Pass-by-value&#xff09;&#xff0c;\u7f16\u8bd1\u5668\u4f1a\u5728\u4f20\u53c2\u65f6\u9690\u5f0f\u8c03\u7528\u62f7\u8d1d\u6784\u9020\u51fd\u6570&#xff0c;\u751f\u6210\u6df1\u62f7\u8d1d\u7684\u4e34\u65f6\u5bf9\u8c61 t\u3002<\/p>\n<p>\u6307\u9488\u4ea4\u6362&#xff1a;\u901a\u8fc7 swap(_root, t._root) \u4ea4\u6362\u5f53\u524d\u5bf9\u8c61\u7684\u6839\u6307\u9488\u4e0e t \u7684\u6839\u6307\u9488&#xff0c;\u76f4\u63a5\u63a5\u7ba1\u65b0\u6811\u8d44\u6e90\u3002<\/p>\n<p>\u9690\u5f0f\u81ea\u52a8\u91ca\u653e\u65e7\u8d44\u6e90&#xff1a;\u51fd\u6570\u6267\u884c\u5b8c\u6bd5\u9000\u51fa\u4f5c\u7528\u57df\u65f6&#xff0c;\u4e34\u65f6\u5bf9\u8c61 t \u81ea\u52a8\u8c03\u7528\u6790\u6784\u51fd\u6570&#xff0c;\u987a\u4fbf\u6e05\u7406\u6389\u5f53\u524d\u5bf9\u8c61\u4ea4\u6362\u8fc7\u53bb\u7684\u65e7\u8d44\u6e90&#xff0c;\u5177\u6709\u5f3a\u5f02\u5e38\u5b89\u5168\u6027\u3002<\/p>\n<h2>9. \u4e8c\u53c9\u641c\u7d22\u6811\u5b8c\u6574 C&#043;&#043; \u6a21\u677f\u5b9e\u73b0\u4ee3\u7801<\/h2>\n<p>\u4ee5\u4e0b\u662f\u6574\u5408\u540e\u7684\u5b8c\u6574\u7248\u4ee3\u7801&#xff08;\u5305\u542b\u6ce8\u91ca&#xff09;&#xff1a;<\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;iostream&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;string&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">namespace<\/span> key_value<br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n    <span class=\"token comment\">\/\/ 1. \u4e8c\u53c9\u641c\u7d22\u6811\u8282\u70b9\u7ed3\u6784\u4f53\u5b9a\u4e49<\/span><br \/>\n    <span class=\"token comment\">\/\/ &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n    <span class=\"token keyword\">template<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">K<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">V<\/span><span class=\"token operator\">&gt;<\/span><br \/>\n    <span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">BSTNode<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        K _key<span class=\"token punctuation\">;<\/span>                <span class=\"token comment\">\/\/ \u5173\u952e\u7801&#xff08;\u7528\u4e8e\u6bd4\u8f83\u6392\u5e8f&#xff09;<\/span><br \/>\n        V _value<span class=\"token punctuation\">;<\/span>              <span class=\"token comment\">\/\/ \u6620\u5c04\u503c&#xff08;\u5b9e\u9645\u5b58\u50a8\u7684\u6570\u636e&#xff09;<\/span><br \/>\n        BSTNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _left<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u6307\u5411\u5de6\u5b69\u5b50\u7684\u6307\u9488<\/span><br \/>\n        BSTNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _right<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6307\u5411\u53f3\u5b69\u5b50\u7684\u6307\u9488<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u8282\u70b9\u6784\u9020\u51fd\u6570&#xff1a;\u5229\u7528\u521d\u59cb\u5316\u5217\u8868\u5b8c\u6210\u5bf9\u6210\u5458\u53d8\u91cf\u7684\u8d4b\u503c<\/span><br \/>\n        <span class=\"token function\">BSTNode<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> V<span class=\"token operator\">&amp;<\/span> value<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token operator\">:<\/span> <span class=\"token function\">_key<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">,<\/span> <span class=\"token function\">_value<\/span><span class=\"token punctuation\">(<\/span>value<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">,<\/span> <span class=\"token function\">_left<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">,<\/span> <span class=\"token function\">_right<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n    <span class=\"token comment\">\/\/ 2. \u4e8c\u53c9\u641c\u7d22\u6811\u7c7b\u5b9a\u4e49<\/span><br \/>\n    <span class=\"token comment\">\/\/ &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n    <span class=\"token keyword\">template<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">K<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">V<\/span><span class=\"token operator\">&gt;<\/span><br \/>\n    <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">BSTree<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">typedef<\/span> BSTNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span> Node<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5185\u90e8\u7c7b\u578b\u91cd\u547d\u540d&#xff0c;\u65b9\u4fbf\u540e\u7eed\u4f7f\u7528<\/span><\/p>\n<p>    <span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n        <span class=\"token comment\">\/\/ C&#043;&#043;11 \u663e\u5f0f\u6307\u5b9a\u751f\u6210\u9ed8\u8ba4\u6784\u9020\u51fd\u6570<\/span><br \/>\n        <span class=\"token function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">default<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u62f7\u8d1d\u6784\u9020\u51fd\u6570&#xff1a;\u8c03\u7528\u79c1\u6709\u524d\u5e8f\u6df1\u62f7\u8d1d\u51fd\u6570 Copy \u5b8c\u6210\u5168\u6811\u6784\u5efa<\/span><br \/>\n        <span class=\"token function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> t<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            _root <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>t<span class=\"token punctuation\">.<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u73b0\u4ee3\u5199\u6cd5\u8d4b\u503c\u8fd0\u7b97\u7b26\u91cd\u8f7d&#xff08;Copy-and-Swap&#xff09;<\/span><br \/>\n        <span class=\"token comment\">\/\/ 1. \u4f20\u503c\u5f62\u53c2 t \u81ea\u52a8\u89e6\u53d1\u62f7\u8d1d\u6784\u9020\u51fd\u6570\u751f\u6210\u4e34\u65f6\u5bf9\u8c61<\/span><br \/>\n        <span class=\"token comment\">\/\/ 2. \u4ea4\u6362\u5f53\u524d\u5bf9\u8c61\u4e0e t \u7684 _root \u6839\u6307\u9488&#xff0c;\u76f4\u63a5\u63a5\u7ba1\u65b0\u6811\u8d44\u6e90<\/span><br \/>\n        <span class=\"token comment\">\/\/ 3. t \u9000\u51fa\u51fd\u6570\u4f5c\u7528\u57df\u65f6\u81ea\u52a8\u89e6\u53d1\u6790\u6784\u51fd\u6570&#xff0c;\u6e05\u7406\u6389\u5f53\u524d\u5bf9\u8c61\u539f\u6765\u7684\u65e7\u6811\u8282\u70b9<\/span><br \/>\n        BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> <span class=\"token keyword\">operator<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span>BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span> t<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>_root<span class=\"token punctuation\">,<\/span> t<span class=\"token punctuation\">.<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token operator\">*<\/span><span class=\"token keyword\">this<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8fd4\u56de\u5f53\u524d\u5bf9\u8c61\u7684\u5f15\u7528&#xff0c;\u652f\u6301\u8fde\u7eed\u8d4b\u503c&#xff08;a &#061; b &#061; c&#xff09;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u6790\u6784\u51fd\u6570&#xff1a;\u8c03\u7528\u79c1\u6709\u540e\u5e8f\u9012\u5f52\u9500\u6bc1\u51fd\u6570 Destroy \u91ca\u653e\u6240\u6709\u7269\u7406\u8282\u70b9<\/span><br \/>\n        <span class=\"token operator\">~<\/span><span class=\"token function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u9012\u5f52\u9500\u6bc1\u5168\u6811\u8282\u70b9<\/span><br \/>\n            _root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5c06\u6839\u6307\u9488\u7f6e\u4e3a\u7a7a&#xff0c;\u9632\u6b62\u91ce\u6307\u9488\u89e3\u5f15\u7528<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u67e5\u627e\u63a5\u53e3&#xff08;Find&#xff09;<\/span><br \/>\n        <span class=\"token comment\">\/\/ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/span><br \/>\n        Node<span class=\"token operator\">*<\/span> <span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            Node<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5b9a\u4e49\u904d\u5386\u6307\u9488&#xff0c;\u9ed8\u8ba4\u6307\u5411\u6839\u8282\u70b9<\/span><br \/>\n            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n                    cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u76ee\u6807 key \u5927\u4e8e\u5f53\u524d\u8282\u70b9&#xff0c;\u5411\u53f3\u5b50\u6811\u641c\u7d22<\/span><br \/>\n                <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n                    cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u76ee\u6807 key \u5c0f\u4e8e\u5f53\u524d\u8282\u70b9&#xff0c;\u5411\u5de6\u5b50\u6811\u641c\u7d22<\/span><br \/>\n                <span class=\"token keyword\">else<\/span><br \/>\n                    <span class=\"token keyword\">return<\/span> cur<span class=\"token punctuation\">;<\/span>        <span class=\"token comment\">\/\/ \u5339\u914d\u6210\u529f&#xff0c;\u76f4\u63a5\u8fd4\u56de\u627e\u5230\u7684\u8282\u70b9\u6307\u9488<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u904d\u5386\u9047\u5230 nullptr \u8bf4\u660e\u4e0d\u5b58\u5728&#xff0c;\u67e5\u627e\u5931\u8d25<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u63d2\u5165\u63a5\u53e3&#xff08;Insert&#xff09;<\/span><br \/>\n        <span class=\"token comment\">\/\/ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/span><br \/>\n        <span class=\"token keyword\">bool<\/span> <span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> V<span class=\"token operator\">&amp;<\/span> value<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u6b65\u9aa4 1&#xff1a;\u7279\u5224\u7a7a\u6811\u573a\u666f&#xff0c;\u65b0\u8282\u70b9\u76f4\u63a5\u4f5c\u4e3a\u6839\u8282\u70b9<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>_root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                _root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">,<\/span> value<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><\/p>\n<p>            Node<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5fc5\u987b\u5b9a\u4e49 parent \u6307\u9488&#xff0c;\u7528\u4e8e\u5b9e\u65f6\u8ffd\u8e2a cur \u7684\u4e0a\u7ea7\u8282\u70b9<\/span><br \/>\n            Node<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span>      <span class=\"token comment\">\/\/ \u67e5\u627e\u843d\u811a\u70b9\u7684\u8fed\u4ee3\u6307\u9488<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ \u6b65\u9aa4 2&#xff1a;\u8fed\u4ee3\u5bfb\u627e\u5408\u9002\u7a7a\u843d\u811a\u70b9&#xff0c;\u540c\u65f6\u8fdb\u884c\u6392\u91cd\u6821\u9a8c<\/span><br \/>\n            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span>       <span class=\"token comment\">\/\/ \u5f80\u4e0b\u8d70\u4e4b\u524d\u8bb0\u5f55\u5f53\u524d\u8282\u70b9\u4e3a parent<\/span><br \/>\n                    cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u6bd4\u5f53\u524d\u8282\u70b9\u5927&#xff0c;\u5411\u53f3\u5b50\u6811\u5bfb\u627e<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span>       <span class=\"token comment\">\/\/ \u5f80\u4e0b\u8d70\u4e4b\u524d\u8bb0\u5f55\u5f53\u524d\u8282\u70b9\u4e3a parent<\/span><br \/>\n                    cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u6bd4\u5f53\u524d\u8282\u70b9\u5c0f&#xff0c;\u5411\u5de6\u5b50\u6811\u5bfb\u627e<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">else<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span>       <span class=\"token comment\">\/\/ \u6811\u4e2d\u5df2\u5b58\u5728\u76f8\u540c\u7684 key&#xff0c;\u4e0d\u5141\u8bb8\u5197\u4f59&#xff0c;\u63d2\u5165\u5931\u8d25<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ \u6b65\u9aa4 3&#xff1a;cur \u6b64\u65f6\u5230\u8fbe nullptr&#xff0c;new \u51fa\u65b0\u8282\u70b9\u5e76\u901a\u8fc7 parent \u5b8c\u6210\u7269\u7406\u6302\u63a5<\/span><br \/>\n            cur <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">,<\/span> value<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n                parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u65b0 key \u6bd4 parent \u5927&#xff0c;\u6302\u5728\u53f3\u5b69\u5b50\u4f4d\u7f6e<\/span><br \/>\n            <span class=\"token keyword\">else<\/span><br \/>\n                parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span>    <span class=\"token comment\">\/\/ \u65b0 key \u6bd4 parent \u5c0f&#xff0c;\u6302\u5728\u5de6\u5b69\u5b50\u4f4d\u7f6e<\/span><\/p>\n<p>            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6302\u63a5\u6210\u529f&#xff0c;\u8fd4\u56de true<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5220\u9664\u63a5\u53e3&#xff08;Erase&#xff09;<\/span><br \/>\n        <span class=\"token comment\">\/\/ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/span><br \/>\n        <span class=\"token keyword\">bool<\/span> <span class=\"token function\">Erase<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            Node<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8bb0\u5f55\u5f85\u5220\u9664\u8282\u70b9 cur \u7684\u7236\u8282\u70b9<\/span><br \/>\n            Node<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span>      <span class=\"token comment\">\/\/ \u67e5\u627e\u5f85\u5220\u9664\u8282\u70b9\u6307\u9488<\/span><\/p>\n<p>            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n                    cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n                    cur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">else<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token comment\">\/\/ \u5339\u914d\u5230\u4e86\u5f85\u5220\u9664\u8282\u70b9 cur&#xff0c;\u6839\u636e\u5b69\u5b50\u6570\u91cf\u5206\u4e09\u5927\u573a\u666f\u5904\u7406&#xff1a;<\/span><\/p>\n<p>                    <span class=\"token comment\">\/\/ \u3010\u573a\u666f 1\u3011&#xff1a;cur \u7684\u5de6\u5b69\u5b50\u4e3a\u7a7a&#xff08;\u6258\u5b64\u53f3\u5b69\u5b50&#xff09;<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token punctuation\">{<\/span><br \/>\n                        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                        <span class=\"token punctuation\">{<\/span><br \/>\n                            _root <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6839\u8282\u70b9\u7279\u4f8b&#xff1a;\u76f4\u63a5\u66f4\u65b0 _root \u6307\u5411\u53f3\u5b69\u5b50<\/span><br \/>\n                        <span class=\"token punctuation\">}<\/span><br \/>\n                        <span class=\"token keyword\">else<\/span><br \/>\n                        <span class=\"token punctuation\">{<\/span><br \/>\n                            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n                                parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ cur \u662f\u5de6\u5b69\u5b50&#xff0c;\u628a cur \u7684\u53f3\u5b69\u5b50\u6258\u5b64\u7ed9 parent \u5de6\u4fa7<\/span><br \/>\n                            <span class=\"token keyword\">else<\/span><br \/>\n                                parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ cur \u662f\u53f3\u5b69\u5b50&#xff0c;\u628a cur \u7684\u53f3\u5b69\u5b50\u6258\u5b64\u7ed9 parent \u53f3\u4fa7<\/span><br \/>\n                        <span class=\"token punctuation\">}<\/span><br \/>\n                        <span class=\"token keyword\">delete<\/span> cur<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u91ca\u653e cur \u8282\u70b9\u7684\u7269\u7406\u5185\u5b58<\/span><br \/>\n                        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token punctuation\">}<\/span><br \/>\n                    <span class=\"token comment\">\/\/ \u3010\u573a\u666f 2\u3011&#xff1a;cur \u7684\u53f3\u5b69\u5b50\u4e3a\u7a7a&#xff08;\u6258\u5b64\u5de6\u5b69\u5b50&#xff09;<\/span><br \/>\n                    <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token punctuation\">{<\/span><br \/>\n                        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                        <span class=\"token punctuation\">{<\/span><br \/>\n                            _root <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6839\u8282\u70b9\u7279\u4f8b&#xff1a;\u76f4\u63a5\u66f4\u65b0 _root \u6307\u5411\u5de6\u5b69\u5b50<\/span><br \/>\n                        <span class=\"token punctuation\">}<\/span><br \/>\n                        <span class=\"token keyword\">else<\/span><br \/>\n                        <span class=\"token punctuation\">{<\/span><br \/>\n                            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n                                parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ cur \u662f\u5de6\u5b69\u5b50&#xff0c;\u628a cur \u7684\u5de6\u5b69\u5b50\u6258\u5b64\u7ed9 parent \u5de6\u4fa7<\/span><br \/>\n                            <span class=\"token keyword\">else<\/span><br \/>\n                                parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ cur \u662f\u53f3\u5b69\u5b50&#xff0c;\u628a cur \u7684\u5de6\u5b69\u5b50\u6258\u5b64\u7ed9 parent \u53f3\u4fa7<\/span><br \/>\n                        <span class=\"token punctuation\">}<\/span><br \/>\n                        <span class=\"token keyword\">delete<\/span> cur<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u91ca\u653e cur \u8282\u70b9\u7684\u7269\u7406\u5185\u5b58<\/span><br \/>\n                        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token punctuation\">}<\/span><br \/>\n                    <span class=\"token comment\">\/\/ \u3010\u573a\u666f 3\u3011&#xff1a;cur \u7684\u5de6\u53f3\u5b69\u5b50\u5747\u4e0d\u4e3a\u7a7a&#xff08;\u66ff\u6362\u6cd5&#xff09;<\/span><br \/>\n                    <span class=\"token keyword\">else<\/span><br \/>\n                    <span class=\"token punctuation\">{<\/span><br \/>\n                        <span class=\"token comment\">\/\/ 1. \u5bfb\u627e\u53f3\u5b50\u6811\u6700\u5de6\u8282\u70b9 rightMin&#xff08;\u5373\u53f3\u5b50\u6811\u6700\u5c0f\u503c&#xff09;<\/span><br \/>\n                        <span class=\"token comment\">\/\/ &#x1f4cc;\u907f\u5751\u8981\u70b9&#xff1a;rightMinP \u5fc5\u987b\u521d\u59cb\u5316\u4e3a cur&#xff01;\u9632\u8303\u53f3\u5b69\u5b50\u6ca1\u6709\u5de6\u5b69\u5b50\u65f6&#xff08;\u5faa\u73af\u4e00\u6b21\u4e0d\u8fdb&#xff09;\u5bfc\u81f4\u7684\u7a7a\u6307\u9488\u89e3\u5f15\u7528\u5d29\u6e83<\/span><br \/>\n                        Node<span class=\"token operator\">*<\/span> rightMinP <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n                        Node<span class=\"token operator\">*<\/span> rightMin <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><\/p>\n<p>                        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>rightMin<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><br \/>\n                        <span class=\"token punctuation\">{<\/span><br \/>\n                            rightMinP <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token punctuation\">;<\/span><br \/>\n                            rightMin <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8fed\u4ee3\u5411\u5de6\u79fb\u52a8\u67e5\u627e\u6700\u5c0f\u503c<\/span><br \/>\n                        <span class=\"token punctuation\">}<\/span><\/p>\n<p>                        <span class=\"token comment\">\/\/ 2. \u6570\u636e\u8986\u76d6&#xff1a;\u7528\u66ff\u4ee3\u8282\u70b9\u7684\u6570\u636e\u76f4\u63a5\u8986\u76d6\u5f53\u524d cur \u8282\u70b9\u7684\u6570\u636e<\/span><br \/>\n                        cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">;<\/span><br \/>\n                        cur<span class=\"token operator\">-&gt;<\/span>_value <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_value<span class=\"token punctuation\">;<\/span><\/p>\n<p>                        <span class=\"token comment\">\/\/ 3. \u7269\u7406\u9500\u6bc1\u66ff\u4ee3\u8282\u70b9 rightMin&#xff08;\u6258\u5b64\u5176\u53f3\u5b69\u5b50&#xff0c;\u56e0\u4e3a rightMin-&gt;_left \u5fc5\u4e3a\u7a7a&#xff09;<\/span><br \/>\n                        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>rightMinP<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> rightMin<span class=\"token punctuation\">)<\/span><br \/>\n                            rightMinP<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n                        <span class=\"token keyword\">else<\/span><br \/>\n                            rightMinP<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> rightMin<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><\/p>\n<p>                        <span class=\"token keyword\">delete<\/span> rightMin<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5185\u5b58\u4e2d\u771f\u5b9e\u91ca\u653e\u7684\u662f\u66ff\u6362\u8282\u70b9 rightMin<\/span><br \/>\n                        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u672a\u627e\u5230\u8282\u70b9&#xff0c;\u5220\u9664\u5931\u8d25<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u4e2d\u5e8f\u904d\u5386\u516c\u6709\u5916\u58f3\u63a5\u53e3&#xff08;InOrder&#xff09;<\/span><br \/>\n        <span class=\"token comment\">\/\/ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/span><br \/>\n        <span class=\"token keyword\">void<\/span> <span class=\"token function\">InOrder<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u9690\u5f0f\u8c03\u7528\u79c1\u6709\u9012\u5f52\u51fd\u6570&#xff0c;\u81ea\u52a8\u4f20\u5165\u79c1\u6709 _root \u6307\u9488<\/span><br \/>\n            cout <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">private<\/span><span class=\"token operator\">:<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u79c1\u6709\u9012\u5f52\u4e2d\u5e8f\u904d\u5386\u8f85\u52a9\u51fd\u6570&#xff08;\u5de6 -&gt; \u6839 -&gt; \u53f3&#xff09;<\/span><br \/>\n        <span class=\"token keyword\">void<\/span> <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>                           <span class=\"token comment\">\/\/ \u9012\u5f52\u6253\u5370\u5de6\u5b50\u6811<\/span><br \/>\n            cout <span class=\"token operator\">&lt;&lt;<\/span> root<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;:&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> root<span class=\"token operator\">-&gt;<\/span>_value <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6253\u5370\u5f53\u524d\u6839\u8282\u70b9<\/span><br \/>\n            <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>                          <span class=\"token comment\">\/\/ \u9012\u5f52\u6253\u5370\u53f3\u5b50\u6811<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u79c1\u6709\u9012\u5f52\u540e\u5e8f\u9500\u6bc1\u8f85\u52a9\u51fd\u6570&#xff08;\u5de6 -&gt; \u53f3 -&gt; \u6839&#xff09;<\/span><br \/>\n        <span class=\"token keyword\">void<\/span> <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u5148\u9500\u6bc1\u5de6\u5b50\u6811\u6240\u6709\u8282\u70b9<\/span><br \/>\n            <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u518d\u9500\u6bc1\u53f3\u5b50\u6811\u6240\u6709\u8282\u70b9<\/span><br \/>\n            <span class=\"token keyword\">delete<\/span> root<span class=\"token punctuation\">;<\/span>            <span class=\"token comment\">\/\/ \u6700\u540e\u91ca\u653e\u5f53\u524d\u6839\u8282\u70b9\u7269\u7406\u5185\u5b58<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u79c1\u6709\u9012\u5f52\u524d\u5e8f\u6df1\u62f7\u8d1d\u8f85\u52a9\u51fd\u6570&#xff08;\u6839 -&gt; \u5de6 -&gt; \u53f3&#xff09;<\/span><br \/>\n        Node<span class=\"token operator\">*<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            Node<span class=\"token operator\">*<\/span> newRoot <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">,<\/span> root<span class=\"token operator\">-&gt;<\/span>_value<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u62f7\u8d1d\u5f53\u524d\u6839\u8282\u70b9<\/span><br \/>\n            newRoot<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>                 <span class=\"token comment\">\/\/ \u9012\u5f52\u6df1\u62f7\u8d1d\u5de6\u5b50\u6811\u5e76\u6302\u63a5<\/span><br \/>\n            newRoot<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>               <span class=\"token comment\">\/\/ \u9012\u5f52\u6df1\u62f7\u8d1d\u53f3\u5b50\u6811\u5e76\u6302\u63a5<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> newRoot<span class=\"token punctuation\">;<\/span>                                     <span class=\"token comment\">\/\/ \u8fd4\u56de\u751f\u6210\u7684\u65b0\u5b50\u6811\u6839\u6307\u9488<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">private<\/span><span class=\"token operator\">:<\/span><br \/>\n        Node<span class=\"token operator\">*<\/span> _root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6839\u8282\u70b9\u6307\u9488&#xff0c;\u7c7b\u5185\u521d\u59cb\u5316\u8d4b\u521d\u503c nullptr<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u53c9\u641c\u7d22\u68111. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6982\u5ff5\u4e0e\u6838\u5fc3\u6027\u8d282. \u6027\u80fd\u5206\u6790\u4e0e\u4e8c\u5206\u67e5\u627e\u5bf9\u6bd43. 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